CH.30-54 - Inthefigurebelow...

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In the figure below,   =  125  V,  R 1  = 10.0  R 2  =  21.0   R 3  = 30.0  , and  L  =  2.10  H. (Note: let  currents in the indicated directions have positive values and currents in the opposite directions  have negative values.) What are the values of the currents a very short time (i.e. nearly immediately) after switch S is  closed? (a)  i 1   4.03  A  (b)  i 2   4.03  A What are these values a long time later? (c)  i 1   5.6  A (d)  i 2   3.29  A The switch is then reopened. Just then, what are the values of the currents? (e)  i 1   0  A  (f)  i 2   -2.31  A What are these values a long time later? (g)  i 1   0  A  (h)  i 2   0  A
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Multiple Loop LR Circuits Conditions when you are dealing with a combination circuit that is not in a single loop. At the following times: Initially, where time t=0 An inductor with inductance L has maximum potential Vl (often equal to  ) and has maximum influence on a circuit ξ   branch. Therefore it behaves like a broken wire, and the entire branch that contains the inductor has zero current  i=0. Redraw the entire circuit where you actually remove any and all branches of a circuit that contain an inductor.  What is left is a simplified circuit that should only contain a battery and a collection of resistors at most, and can  therefore be analyzed using either series and parallel concepts or the loop rule and the junction rule. When a switch is opened An inductor with inductance L has a continuity of current, that is on a branch with an inductor i(after switch is  opened)=i(before switch is opened) Any other branch that does not contain a battery or inductor will have its current and potential drop to zero, V(after  switch is opened)=0 and i(after switch is opened)=0 After a long time, where t An inductor with inductance L has zero potential Vl=0 and has no influence on a circuit branch. Therefore it 
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